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Finding the Third Proportional to 31,982 and 50,061

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Solution

The third proportional to 31,982 and 50,061 is: 78,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982 : 50,061 = 50,061 : x
  2. Step 2: Convert to fraction form
    31,982/50,061 = 50,061/x
  3. Step 3: Cross multiply
    31,982x = 50,061 × 50,061
  4. Step 4: Simplify right side
    31,982x = 2,506,103,721
  5. Step 5: Solve for x
    x = 2,506,103,721/31,982
  6. Step 6: Final answer
    x = 78,359.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.